Find roots of polynomial $$ p(x) = x^4-x^3+5x^2+5x+4 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.494+0.6227i\\[1 em]x_2 &= -0.494-0.6227i\\[1 em]x_3 &= 0.994+2.3118i\\[1 em]x_4 &= 0.994-2.3118i \end{aligned} $$Explanation
Polynomial $ x^4-x^3+5x^2+5x+4 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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